Question 1 The following is the distance-time table of an object in motion: Time in seconds Distance in metres 0 0 1 1 2 8 3 27 4 64 5 125 6 216 7 343 (a) What conclusion can you draw about the acceleration? Is it constant, increasing, decreasing, or zero? (b)What do you infer about the forces acting on the object?
Class 9 - Science - Force and Laws of Motion Page 130
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a) The graph represents a curve, thus the object has non uniform motion. The velocity of the object increases with time, so acceleration is increasing.
b) Newton's second law of motion:
Acceleration is produced when a force acts on a mass. The greater the mass (of the object being accelerated) the greater the amount of force needed (to accelerate the object).
Thus, the force acting on the object also increases.
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__________
Here is your answer
____________________
a) The graph represents a curve, thus the object has non uniform motion. The velocity of the object increases with time, so acceleration is increasing.
b) Newton's second law of motion:
Acceleration is produced when a force acts on a mass. The greater the mass (of the object being accelerated) the greater the amount of force needed (to accelerate the object).
Thus, the force acting on the object also increases.
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Explanation: (a) The distance covered by the object at a time interval is constantly increasing in the same amount of time. Therefore, it is clear that the acceleration of the object is increasing.
(b) According to the second law of motion, force = mass × acceleration. As the mass of the object remains constant for the entire time, the increase in acceleration implies that the effective force acting on the object is also increasing with time.
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